Which is the set of integers greater than -4 and less than or equal to 1? Choices: (A){0, 1} (B){-4, 0, 1} (C){-3, -2, -1, 0, 1} (D){-4, -3, -2, -1, 0, 1}

Identify Inequality Signs: Let's first identify the inequality signs and the type of numbers we are dealing with. We are looking for integers that are greater than -4 and less than or equal to 1.List Type of Numbers: The inequality greater than -4 is represented by the symbol >, and the inequality less than or equal to 1 is represented by the symbol ≤. So we are looking for integers x such that -4 < x ≤ 1.Find Integers: Now we need to list the integers that satisfy both conditions. The smallest integer greater than -4 is -3, and the largest integer that is less than or equal to 1 is 1 itself.List Integers: Listing out the integers between -3 and 1 inclusive, we get -3, -2, -1, 0, 1. These are the integers that satisfy the condition -4 < x ≤ 1.Compare Choices: Comparing our list with the given choices, we find that choice (C) { -3, -2, -1, 0, 1 } matches our list.

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Which is the set of integers greater than $-4$ and less than or equal to $1$ ? $\newline$ Choices: $\newline$ (A) $\{0, 1\}$ $\newline$ (B) $\{-4, 0, 1\}$ $\newline$ (C) $\{-3, -2, -1, 0, 1\}$ $\newline$ (D) $\{-4, -3, -2, -1, 0, 1\}$

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Q. Which is the set of integers greater than

-4

and less than or equal to

1

\newline

Choices:

\newline

(A)

\{0, 1\}

\newline

(B)

\{-4, 0, 1\}

\newline

(C)

\{-3, -2, -1, 0, 1\}

\newline

(D)

\{-4, -3, -2, -1, 0, 1\}

Identify Inequality Signs: Let's first identify the inequality signs and the type of numbers we are dealing with. We are looking for integers that are greater than $-4$ and less than or equal to $1$ .
List Type of Numbers: The inequality greater than $-4$ is represented by the symbol >, and the inequality less than or equal to $1$ is represented by the symbol $\leq$ . So we are looking for integers $x$ such that -4 < x \leq 1.
Find Integers: Now we need to list the integers that satisfy both conditions. The smallest integer greater than $-4$ is $-3$ , and the largest integer that is less than or equal to $1$ is $1$ itself.
List Integers: Listing out the integers between $-3$ and $1$ inclusive, we get $-3, -2, -1, 0, 1$ . These are the integers that satisfy the condition -4 < x \leq 1.
Compare Choices: Comparing our list with the given choices, we find that choice (C) $\{ -3, -2, -1, 0, 1 \}$ matches our list.